Download AFM 1st Quarter Test FORM A Name

AFM Midterm Practice Test
Name ___________________
1. Given 6 choices of sandwiches, 5 choices of chips, and 3 choices of cookies, how many different sack
lunches can be prepared containing one choice of each item?
2. How many ways can the letters in the word pacifier be arranged?
3. How many 4-letter codes can be formed from the letters in the word capture if letters cannot be repeated?
4. A class consisting of 16 boys and 12 girls must select 2 boys and 2 girls to serve on a committee. How many
variations of the committee can there be?
5. On a long city block, 5-digit house numbers must begin with the digit 4 and end with either 0 or 1. How
many different variations of house numbers are possible?
6. How many ways can 4 identical green candles and 8 identical blue candles be arranged in a row in any
variation?
7. How many ways can 10 keys be arranged on a key ring with no chain?
8. How many ways can 8 numbers be arranged on a small rotating wheel relative to a fixed point?
For Exercises 9 and 10, consider a basket that contains 20 slips of paper numbered from 1 to 20. Two slips of
paper are drawn at random.
9. What is the probability of drawing 2 even numbers?
10. What are the odds of drawing an even number less than 7 and an odd number greater than 10?
11. The probability of rolling a sum of 4 when two number cubes are tossed is 1 in 12. What are the odds of
rolling a sum of 4 when two number cubes are tossed?
12. The odds that it will rain in the city of Houston tomorrow are 2/3. What is the probability of rain in
Houston tomorrow?
13. A company survey shows that 60% of employees drive to work, 25% of employees have children, and 20%
of employees drive to work and have children. What is the probability that an employee drives to work or has
children?
14. In a certain health club, half the members are women, one-third of the members use free weights, and onefifth of the members are women who use free weights. A female member is elected treasurer. What is the
probability that she uses free weights?
15. Four coins are tossed. What is the probability that at least 3 of the 4 coins show heads?
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16. Find the mean for the data set {6, 3, 4, 1, 8, 7, 14}.
17. Find the median of the set {175, 235, 210, 256, 215, 198}.
18. Find the standard deviation for the given data {5, 6, 8, 11,10}.
19. Find the variance and standard deviation of the given set of data.
{3.3, 18.2, 25.6, 35.9, 28, 48.2, 13.4, 45.8, 28.5, 67.6}
20. A band director checking the overnight rates at six area hotels found the following prices:
$90, $55, $76, $89, $68, and $65. What is the standard deviation of the hotel prices?
21. For 2000 patients, blood-clotting time was normally distributed with a mean of 8 seconds and a standard deviation of
3 seconds. What percent had blood-clotting times between 2 and 11 seconds?
22. Give the angle measure represented by the rotation: 5.5 rotations clockwise.
23. Give the angle measure represented by 2.5 rotation counterclockwise.
24. Change the measure to degrees, minutes, and seconds: 36.3°
25. Write the measure as a decimal to the nearest thousandth: 21° 44’ 3”
26. Find the least positive angle measurement that is coterminal with the given angle - 280°.
27. Identify the coterminal angle between 0° and 360° for the angle 430°.
28. In right triangle ABC, A = 28°, a = 13, and C is the right angle. Solve the triangle.
29. In right triangle ABC, a = 11.5, b = 6, and C is the right angle. Solve the triangle.
30. What is equal to sec θ?
31. If sec  
117
, find sin  .
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32. Find cos if  is an angle in standard position and the point with coordinates (12, -5) lies on the terminal
side of the angle.
33. Given c = 15, a = 12, and C is the right angle find the values of the six trigonometric ratios for A .
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